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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 25 — Dec. 10, 2007
  • pp: 17323–17333

Modal properties and modal control in vertically emitting annular Bragg lasers

Xiankai Sun and Amnon Yariv  »View Author Affiliations

Optics Express, Vol. 15, Issue 25, pp. 17323-17333 (2007)

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The modal properties, including the resonant vertical radiation, of a type of laser structures based on the annular Bragg resonance (ABR) are studied in detail. The modal threshold gains and the resonance frequencies of such lasers are obtained from the derived governing characteristic equation. Two kinds of ABR lasers, one with a π/2 phase shift in the outer grating and the other without, are analyzed. It is numerically demonstrated that, it’s possible to get a large-area, high-efficiency, single defect mode lasing in ABR lasers if we choose the kind without a π/2 phase shift in the outer grating and also a device size smaller than a critical value.

© 2007 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.1480) Optical devices : Bragg reflectors
(250.7270) Optoelectronics : Vertical emitting lasers

ToC Category:
Rings, Disks, and Other Cavities

Original Manuscript: September 5, 2007
Revised Manuscript: November 1, 2007
Manuscript Accepted: November 28, 2007
Published: December 10, 2007

Virtual Issues
Physics and Applications of Microresonators (2007) Optics Express

Xiankai Sun and Amnon Yariv, "Modal properties and modal control in vertically emitting annular Bragg lasers," Opt. Express 15, 17323-17333 (2007)

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  1. T. Erdogan, and D. G. Hall, "Circularly symmetric distributed feedback semiconductor lasers: An analysis," J. Appl. Phys. 68, 1435-1444 (1990). [CrossRef]
  2. C. Wu, M. Svilans, M. Fallahi, T. Makino, J. Glinski, C. Maritan, and C. Blaauw, "Optical Pumped Surface-Emitting DFB GaInAsP/InP Lasers with Circular Grating," Electron. Lett. 27, 1819-1821 (1991). [CrossRef]
  3. T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, "Circularly symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992). [CrossRef]
  4. C. Wu, M. Svilans, M. Fallahi, I. Templeton, T. Makino, J. Glinski, R. Maciejko, S. I. Najafi, C. Maritan, C. Blaauw, and G. Knight, "Room Temperature Operation of Electrically Pumped Surface-Emitting Circular Grating DBR Laser," Electron. Lett. 28, 1037-1039 (1992). [CrossRef]
  5. C. Wu, T. Makino, S. I. Najafi, R. Maciejko, M. Svilans, J. Glinski, and M. Fallahi, "Threshold Gain and Threshold Current Analysis of Circular Grating DFB and DBR Lasers," IEEE J. Quantum Electron. 29, 2596-2606 (1993). [CrossRef]
  6. A. M. Shams-Zadeh-Amiri, X. Li, and W. P. Huang, "Hankel transform-domain analysis of scattered fields in multilayer planar waveguides and lasers with circular gratings," IEEE J. Quantum Electron. 39, 1086-1098 (2003). [CrossRef]
  7. R. H. Jordan, D. G. Hall, O. King, G. W. Wicks, and S. Rishton, "Lasing behavior of circular grating surface-emitting semiconductor lasers," J. Opt. Soc. Am. B 14, 449-453 (1997). [CrossRef]
  8. J. Scheuer, and A. Yariv, "Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annual Resonators," IEEE J. Quantum Electron. 39, 1555-1562 (2003). [CrossRef]
  9. J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, "Low-threshold two-dimensional annular Bragg lasers," Opt. Lett. 29, 2641-2643 (2004). [CrossRef] [PubMed]
  10. X. K. Sun, J. Scheuer, and A. Yariv, "Optimal design and reduced threshold in vertically emitting circular Bragg disk resonator lasers," IEEE J. Sel. Top. Quantum Electron. 13, 359-366 (2007). [CrossRef]
  11. A. Yariv, Optical Electronics in Modern Communications (Oxford Univ. Press, New York, 1997).
  12. J. Scheuer, W. M. J. Green, G. A. DeRose, and A. Yariv, "InGaAsP Annular Bragg Lasers: Theory, Applications, and Modal Properties," IEEE J. Sel. Top. Quantum Electron. 11, 476-484 (2005). [CrossRef]
  13. R. F. Kazarinov, and C. H. Henry, "Second-Order Distributed Feedback Lasers with Mode Selection Provided by First-Order Radiation Losses," IEEE J. Quantum Electron. QE-21, 144-150 (1985). [CrossRef]

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